the reciprocal of 4 plus the reciprocal of 5 is the reciprocal of what number? please help. thanks.

Follow Math Help Forum on Facebook and Google+

Originally Posted by heather_meaghan the reciprocal of 4 plus the reciprocal of 5 is the reciprocal of what number? please help. thanks. let the number be x. then we have $\displaystyle \frac 14 + \frac 15 = \frac 1x$ now solve for $\displaystyle x$ or you can simply add 1/4 and 1/5 and take the reciprocal of the answer

thank you so much!